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Simplifying (u + -5)(3u + -5) = 0 Reorder the terms: (-5 + u)(3u + -5) = 0 Reorder the terms: (-5 + u)(-5 + 3u) = 0 Multiply (-5 + u) * (-5 + 3u) (-5(-5 + 3u) + u(-5 + 3u)) = 0 ((-5 * -5 + 3u * -5) + u(-5 + 3u)) = 0 ((25 + -15u) + u(-5 + 3u)) = 0 (25 + -15u + (-5 * u + 3u * u)) = 0 (25 + -15u + (-5u + 3u2)) = 0 Combine like terms: -15u + -5u = -20u (25 + -20u + 3u2) = 0 Solving 25 + -20u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + -3u)(5 + -1u) = 0Subproblem 1
Set the factor '(5 + -3u)' equal to zero and attempt to solve: Simplifying 5 + -3u = 0 Solving 5 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3u = 0 + -5 -3u = 0 + -5 Combine like terms: 0 + -5 = -5 -3u = -5 Divide each side by '-3'. u = 1.666666667 Simplifying u = 1.666666667Subproblem 2
Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5Solution
u = {1.666666667, 5}
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